4. (15 points) Find the volume generated by rotating area mathrm{A} about the mathrm{x}-axis.

Question

Accepted Answer

Step:1 ：The resulting solid is the union of two cylinders: one whose radius is 5 units and whose height is 1 unit, and the other whose radius is 2 units and whose height is 3 units.Step:2 ：The sum of these volumes is (pi(5)^2(1)+pi(2)^2(3)).Step:3 ：So the volume of the resulting solid is (boxed{37pi}) cubic units.

Answer

Step: 1 ：The resulting solid is the union of two cylinders: one whose radius is 5 units and whose height is 1 unit, and the other whose radius is 2 units and whose height is 3 units.Step: 2 ：The sum of these volumes is (pi(5)^2(1)+pi(2)^2(3)).Step: 3 ：So the volume of the resulting solid is (boxed{37pi}) cubic units.

4. (15 points) Find the volume generated by rotating area $\mathrm{A}$ about the $\mathrm{x}$-axis.

Answer

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